3 papers
math.AP2022
Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
Yachun Li, Peng Qu, Zirong Zeng +1
We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent can be larger than the Lions exponent . It is well-known that, due to L…
math.AP2019
Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations
Tianwen Luo, Peng Qu
Through an adaption of the convex integration scheme in the two dimensional case, the non-uniqueness of weak solutions is presented for the two-dimensional hypoviscou…
math.AP2016
Global Entropy Solutions to Weakly Nonlinear Gas Dynamics
Peng Qu, Zhouping Xin
Entropy weak solutions with bounded periodic initial data are considered for the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme, an approximate solution s…